1071672166656 has 1215 divisors, whose sum is σ = 4076786856681. Its totient is φ = 279061106688.

The previous prime is 1071672166637. The next prime is 1071672166703. The reversal of 1071672166656 is 6566612761701.

It is a happy number.

The square root of 1071672166656 is 1035216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 158531385600 + 913140781056 = 398160^2 + 955584^2 .

It is a super-2 number, since 2×1071672166656² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13565470425 + ... + 13565470503.

Almost surely, 2^{1071672166656} is an apocalyptic number.

1071672166656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1071672166656 is the 1035216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071672166656

1071672166656 is an abundant number, since it is smaller than the sum of its proper divisors (3005114690025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1071672166656 is an frugal number, since it uses more digits than its factorization.

1071672166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1071672166656 in words is "one trillion, seventy-one billion, six hundred seventy-two million, one hundred sixty-six thousand, six hundred fifty-six".